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Finding the Fourth Proportional to 96,931.62, 133,724.52 and 59,184

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Solution

The fourth proportional to 96,931.62, 133,724.52 and 59,184 is: 81,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,931.62 : 133,724.52 = 59,184 : x
  2. Step 2: Convert to fraction form
    96,931.62/133,724.52 = 59,184/x
  3. Step 3: Cross multiply
    96,931.62x = 133,724.52 × 59,184
  4. Step 4: Simplify right side
    96,931.62x = 7,914,351,991.68
  5. Step 5: Solve for x
    x = 7,914,351,991.68/96,931.62
  6. Step 6: Final answer
    x = 81,648.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.